Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
Chaos. 2015 Aug;25(8):083104. doi: 10.1063/1.4927829.
Chimera states are complex spatio-temporal patterns in which domains of synchronous and asynchronous dynamics coexist in coupled systems of oscillators. We examine how the character of the individual elements influences chimera states by studying networks of nonlocally coupled Van der Pol oscillators. Varying the bifurcation parameter of the Van der Pol system, we can interpolate between regular sinusoidal and strongly nonlinear relaxation oscillations and demonstrate that more pronounced nonlinearity induces multi-chimera states with multiple incoherent domains. We show that the stability regimes for multi-chimera states and the mean phase velocity profiles of the oscillators change significantly as the nonlinearity becomes stronger. Furthermore, we reveal the influence of time delay on chimera patterns.
嵌合体状态是在耦合振荡器系统中，同步和异步动力学域共存的复杂时空模式。我们通过研究非局部耦合范德波尔振荡器网络来研究个体元素的特征如何影响嵌合体状态。通过改变范德波尔系统的分岔参数，我们可以在规则正弦和强非线性弛豫振荡之间进行插值，并证明更明显的非线性会诱导具有多个非相干域的多嵌合体状态。我们表明，随着非线性的增强，多嵌合体状态的稳定域和振荡器的平均相位速度分布会发生显著变化。此外，我们揭示了时滞对嵌合体模式的影响。
